Quiver Varieties and Adjoint Crystals of Level ℓ for TypeAn(1)
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Publication:4908960
DOI10.1080/00927872.2011.611844zbMath1307.17021arXiv1011.5759OpenAlexW2963810760MaRDI QIDQ4908960
Publication date: 8 March 2013
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.5759
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)
Cites Work
- Unnamed Item
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- Higher level affine crystals and Young walls
- A generalization of adjoint crystals for the quantized affine algebras of type \(A^{(1)}_n\), \(C^{(1)}_n\) and \(D^{(2)}_{n+1}\)
- Kashiwara and Zelevinsky involutions in affine type A
- Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- Perfect crystals of quantum affine Lie algebras
- Branching functions of \(A_{n-1}^{(1)}\) and Jantzen-Seitz problem for Ariki-Koike algebras
- Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
- Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
- Geometric construction of crystal bases
- Crystal bases and quiver varieties
- Quiver varieties and Kac-Moody algebras
- Finite-dimensional crystals \(B^{2,s}\) for quantum affine algebras of type \(D^{(1)}_{n}\)
- Geometric and combinatorial realizations of crystal graphs
- Crystalizing the q-analogue of universal enveloping algebras
- Crystal base for the basic representation of \(U_ q({\mathfrak sl}^\wedge (n))\)
- Quiver varieties and path realizations arising from adjoint crystals of type 𝐴_{𝑛}⁽¹⁾
- Level 1 perfect crystals and path realizations of basic representations at q = 0
- CRYSTAL BASES FOR QUANTUM AFFINE ALGEBRAS AND COMBINATORICS OF YOUNG WALLS